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3-5 Parallel Lines and Triangles
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Parallel Postulate Through a point not on a line, there is one and only one line parallel to the given line. There is exactly one line through P parallel to l
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Triangle Angle-Sum Theorem
The sum of the measures of the angles of a triangle is 180
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Problem 1: Using the Triangle Angle-Sum Theorem
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Exterior angle of a polygon: an angle formed by a side and an extension of an adjacent side For each exterior angle of a triangle, the two non adjacent interior angles are its remote interior angles
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Triangle Exterior Angle Theorem
The measure of each exterior angle of a triangle equals the sum of the measures of its two remote interior angles
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Problem 3: Using the Triangle Exterior Angle Theorem
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Problem 3: Applying the Triangle Theorems
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